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Finding the Fourth Proportional to 2,057.67, 3,085.95 and 741.21

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Solution

The fourth proportional to 2,057.67, 3,085.95 and 741.21 is: 1,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.67 : 3,085.95 = 741.21 : x
  2. Step 2: Convert to fraction form
    2,057.67/3,085.95 = 741.21/x
  3. Step 3: Cross multiply
    2,057.67x = 3,085.95 × 741.21
  4. Step 4: Simplify right side
    2,057.67x = 2,287,337.00
  5. Step 5: Solve for x
    x = 2,287,337.00/2,057.67
  6. Step 6: Final answer
    x = 1,111.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.